Triangles - Incenter Practice Problems Online

The incenter of a triangle is the intersection of which 3 lines in the triangle?

Which of the following statements is true about the incenter?

It is the midpoint of the orthocenter and the circumcenter It is equidistant from the sides of the triangle It is equidistant from the midpoints of the sides of the triangle It is equidistant from the vertices of the triangle

Which of the following triangles doesn't have the incenter?

How can we find the point equidistant from all sides in a triangle?

by finding the intersection of the angle bisectors of the triangle by finding the intersection of the medians of the triangle by finding the intersection of the altitudes of the triangle by finding the intersection of the perpendicular bisectors of the sides of the triangle

Point $I$ in the diagram above is the incenter of $\triangle{ABC}$ . If $\angle{IAB}=40^\circ$ and $\angle{IBC}=30^\circ$ , what is the measure of $\angle{IBA}$ ?

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Triangles - Incenter

Triangle Centers

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Triangles - Incenter